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Exponential Stability and Transfer Functions of a Heat Exchanger Network System

Cheng-Zhong Xu 1 Gauthier Sallet 1
1 CONGE - Geometric control for non-linear systems
MMAS - Laboratoire Méthodes Mathématiques pour l'Analyse des Systèmes, INRIA Lorraine
Abstract : In this paper we study frequency and time domain behaviour of a heat exchanger network system. The system is governed by hyperbolic partial differential equations. Both the control operator and the observation operator are unbounded but admissible. Using the theory of symmetric hyperbolic systems, we prove exponential stability of the underlying semigroup for the heat exchanger network. Applying the recent representation theory of infinite-dimen- sional linear systems, we prove that the system is regular and derive various properties for the transfer functions, which are potentially useful for controller design.
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Submitted on : Wednesday, May 24, 2006 - 11:04:09 AM
Last modification on : Thursday, February 3, 2022 - 11:08:19 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:24:30 PM


  • HAL Id : inria-00072835, version 1



Cheng-Zhong Xu, Gauthier Sallet. Exponential Stability and Transfer Functions of a Heat Exchanger Network System. [Research Report] RR-3823, INRIA. 1999, pp.22. ⟨inria-00072835⟩



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